Daily Practice

Higher Plus

21st January 1955

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 0.4, one 10 units wide with density 1.4. How many values in total?
2
Surds3 marks
Rationalise the denominator of 84/sqrt(7), giving your answer in its simplest form.
3
Transforming Graphs y=f(x)3 marks
The point (0, -3) lies on y = f(x). Write down its image on y = f(x) - 5.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 4, y = 64. Work out the positive value of x when y = 64.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 8 cm by 14 cm by 14 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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